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Finding the Third Proportional to 217,408 and 325,112

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Solution

The third proportional to 217,408 and 325,112 is: 486,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,408 : 325,112 = 325,112 : x
  2. Step 2: Convert to fraction form
    217,408/325,112 = 325,112/x
  3. Step 3: Cross multiply
    217,408x = 325,112 × 325,112
  4. Step 4: Simplify right side
    217,408x = 105,697,812,544
  5. Step 5: Solve for x
    x = 105,697,812,544/217,408
  6. Step 6: Final answer
    x = 486,172.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.